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205144031 is a prime number
BaseRepresentation
bin11000011101000…
…11111111011111
3112022000101201002
430032203333133
5410004102111
632204540515
75040460361
oct1416437737
9468011632
10205144031
11a5886824
125885173b
1333668801
141d360d31
151302363b
hexc3a3fdf

205144031 has 2 divisors, whose sum is σ = 205144032. Its totient is φ = 205144030.

The previous prime is 205144001. The next prime is 205144067. The reversal of 205144031 is 130441502.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 205144031 - 210 = 205143007 is a prime.

It is a super-2 number, since 2×2051440312 = 84168146909857922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 205143994 and 205144012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102572015 + 102572016.

It is an arithmetic number, because the mean of its divisors is an integer number (102572016).

Almost surely, 2205144031 is an apocalyptic number.

205144031 is a deficient number, since it is larger than the sum of its proper divisors (1).

205144031 is an equidigital number, since it uses as much as digits as its factorization.

205144031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 205144031 is about 14322.8499608144. The cubic root of 205144031 is about 589.7749127029.

Adding to 205144031 its reverse (130441502), we get a palindrome (335585533).

The spelling of 205144031 in words is "two hundred five million, one hundred forty-four thousand, thirty-one".